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Finding the Fourth Proportional to 11,117.44, 16,740.92 and 8,216

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Solution

The fourth proportional to 11,117.44, 16,740.92 and 8,216 is: 12,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,117.44 : 16,740.92 = 8,216 : x
  2. Step 2: Convert to fraction form
    11,117.44/16,740.92 = 8,216/x
  3. Step 3: Cross multiply
    11,117.44x = 16,740.92 × 8,216
  4. Step 4: Simplify right side
    11,117.44x = 137,543,398.72
  5. Step 5: Solve for x
    x = 137,543,398.72/11,117.44
  6. Step 6: Final answer
    x = 12,371.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.